Fractional PDE

General fractional PDE workflows

This capability is aimed at teams exploring fractional PDEs more broadly, especially when transport or field evolution does not follow classical diffusion or wave assumptions. It provides room for research and prototype workflows while staying organized inside a product context.

Capability overview

Fractional PDE workflows for transport, diffusion, and advanced model development.

Support fractional transport and diffusion studies in a structured environment.
Help research teams move beyond one-off notebooks and custom scripts.
Make it easier to compare alternative formulations, parameters, and solution behavior.
Workflow placeholder
01

Specify the governing equation

Placeholder for the PDE, domain, source terms, and the physical quantity being modeled.

02

Configure the fractional formulation

Placeholder for order choice, transport regime, and any boundary or kernel assumptions.

03

Inspect the field evolution

Placeholder for time history, spatial fields, and comparison with a classical PDE baseline.

Examples

Example problem layouts for this capability.

These pages are set up to hold detailed examples later. For now, each example includes structured placeholder blocks for the major steps in a Phractals workflow.

Example case

Anomalous diffusion in a layered medium

Placeholder for a transport problem where subdiffusive or superdiffusive behavior is compared against a classical diffusion baseline.

Domain placeholder
Initial condition placeholder
Fractional PDE setup placeholder
Field evolution placeholder
Example case

Research prototype for a custom fractional field equation

Placeholder for a research-facing example where a team evaluates a new operator or governing equation in a reusable workflow.

Equation placeholder
Discretization placeholder
Solver configuration placeholder
Validation plot placeholder
Next step

Want a real example here?

This page is ready to hold detailed Phractals examples. We can add benchmark cases, application studies, screenshots, and step-by-step outputs for this capability next.